Jovetić is a Montenegrin international, having previously represented his team at under-21 level. He made his senior international debut in 2007, in Montenegro's first international football match as an independent country.

He scored three goals during a UEFA Cup qualifying game against Zrinjski on 2 August 2007, in a 5–0 victory for Partizan, recording his first career hat-trick at only 17 years old.[6] In October 2007, he was linked to several high profile clubs such as Manchester United and Real Madrid.[7][8] He became Partizan's club captain aged 17 years, 10 months and 21 days in January 2008, after former captain Antonio Rukavina was sold to German Bundesliga side Borussia Dortmund. This made him Partizan's youngest captain ever, surpassing Albert Nađ, who became captain at age 19.[9] Jovetić held the record until 31 October 2012 when he was surpassed by Nikola Ninković.[10]

On 10 May 2008, Serie A club Fiorentina signed him for a reported fee of £8 million.[11] He scored his first goal for La Viola in the league match against Atalanta from the penalty spot on 5 April 2009.[12]

During pre-season training for the 2010–11 season, he suffered an injury to his cruciate ligament in his right knee which eventually saw him out for the whole season.[15]

Jovetić returned from injury in fine form in the 2011–12 season, scoring a double in a 3–0 win with Parma, his first goals in over a year.[16] On 15 October 2011, Jovetić signed a contract that would keep him in Florence through 2016.[17] Following the winter break in the Serie A, Jovetić netted twice as Fiorentina eased to a comfortable 3–0 victory over Novara on 8 January 2012.[18] A month later, on 5 February, Jovetić earned his side a 3–2 defeat of Udinese by converting two penalties; the win gave Fiorentina back-to-back victories in the Serie A for the first time all season.[19] He failed to find the back of the net after this game for over two months before netting his side's opener and then providing the winning goal for Amauri as Fiorentina shocked title contenders Milan 2–1 on 7 April.[20] Jovetić netted 14 times in 27 league games for Fiorentina, as the Tuscan side limped to 13th place in Serie A.[21]

On 17 February 2013, both Jovetić and teammate Adem Ljajić netted braces as Fiorentina thrashed Inter 4–1 at the Stadio Artemio Franchi.[22]

On 19 July 2013, he signed for Premier League club Manchester City in a deal worth £22 million.[23] Upon signing for the club, Jovetić chose to wear number 35 on his shirt, which he also wore while playing for Partizan. He joined former Fiorentina team-mate and close friend, Matija Nastasić at the club.[24] He made his debut for Manchester City on 14 September, in a 0–0 draw away to Stoke City.[25] He scored his first goals for the club on 24 September, in a 5–0 win against Wigan Athletic in the League Cup.[26]

Jovetić was a founding member of the Montenegro national team who played their first game against Hungary in March 2007,[29] and was also a regular for the Montenegro U-21 team.[30] Jovetić scored his first international goal against the same team, netting twice in a 3–3 draw with Hungary on 20 August 2008 at the Puskás Ferenc Stadion in Budapest.

At 13 and a half years of age he moved from his hometown of Podgorica to Belgrade to play for FK Partizan's youth team. He stayed in Belgrade for 4.5 years,[31] and was then signed by Fiorentina (May 2008), living in Florence for 5 years until 2013, when he was signed by Manchester City.[32]

He is a gamer, playing PlayStation, often with friend and former fellow team player Matija Nastasić.[31] He has his left arm covered in tattoos (a "full-sleeve").[31] He has never consumed alcohol.[31] His favourite team is FK Partizan.[31] In a 2013 interview, he said "Serbia and Montenegro is one, according to me", and that he "would love for us [Serbia and Montenegro] to be together, once again in one national team".[35][36] Jovetić is an Eastern Orthodox Christian.[37]